Q: What are the prime factors of the number 62,523,528?

 A: 2, 3, 19, 31, 4423

Why are those the prime factors of the number 62,523,528?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 62,523,528

62,523,528
Factor Arrows
231,261,764
Factor Arrows
215,630,882
Factor Arrows
27,815,441
Factor Arrows
32,605,147
Factor Arrows
19137,113
Factor Arrows
314,423

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 19, 31, 4423

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 19 x 31 x 4,423 = 62,523,528

This can also be written as 23 x 31 x 191 x 311 x 4,4231 = 62,523,528

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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